For this question. We're looking at the nuclear pore complex specifically at the poor structure. We're being told we have F G repeats and but in vitro at a concentration at least 50 million more, please form a gel. Our first part is to ask if it's reasonable to expect them to form a gel in vivo as well. And for this we're given some data. So first thing you want to do is write down the information you've been given, we've been told, is 5000 repeats and that they are found in poor but is 35 9 m in diameter and 30 nanometers any length. So how are we going to work out the concentration of these repeats in this this volume? Well, we're going to work out the belonging we're working with first, and it says it's cylindrical. So we're going to use the formula for the volume of a cylinder, which is pi r squared pH. So the volume of the poor is going to be pi times R squared. So at 17.5 squared times 30 and this is going through this, our volume of 28,849 remember Nanometers cubes. We have to keep track of our unit, sir. So you've got Nanometers Cube now, right? So this is the volume, and we have 5000 repeats. What does that really mean? Well, we're going to work out how many malls 5000 repeats is, So we're gonna have 5000, and we're gonna just divided by aggregator is constant. So six, um, times 10 to 23. And this gives us not, um, scripts. US 5/6 times tend to be minus 20. I'll leave in this form now, so make it easier to use in future equations. But you can get a rough idea of what we're looking at here. So we have five of six times sentiments. 20 months, right? Perfect. We have our amount. We have our volume. To get the density or we have to do is divide one by the other. So we're going to work with our There were 5000 over six times five of six times 10 to the minus 20 like so. And we're going to divide this by our area. So we're going to divide this by 28,849 nanometers cubes and note that we're still using nanometers cubed. We have to deal with that. If we wanted to go from from nanometers to, say, centimeters, that would be a factor of seven sense for seven but its cubes There's gonna be a factor of 10 to 21. And furthermore, we are also, uh, we're also working with moles. We're going to end up in mill malls, but anyway, onwards. So we're also going to multiply our end results by 10 to 21 to bring us out of nanometers and into centimeters cubed. So all of this gives us 289. And if we do not 0.289 and if we convert it into minimal, most polite by thousands, we get 289 Miller malls. So it's all so this is our overall concentration. And as you can see, it is more than sufficient to form a gel. We're looking for at least 50. We're getting 287 so we have we have plenty, right? That's part a. Now we're gonna be looking at part B. Alright. For part B, we're looking at the diffusion of um, a couple of molecules. First, we're looking at X M V p. A protein, and then we're looking at a tagged M V P. But also it has important attached foot. And if we look at the diagrams and book, we see that without important, it does not pass through a membrane and nuclear membrane. But with important, it does no. Is the fusion of this important bound tagged protein fast enough to account for the efficient flow of materials and were given some more data? Let's just write down the information we have. We have the diffusion ordinates D, which is not 0.1 micrometers cubed per second. We also have the equation for diffusion, which is helpful, and we want to see how long it takes to move through a poor, uh, that is 30 nanometers. So we have X equals 30 nanometers, Correct. So the equation is going to be when we rearrange it, we're going to get t equal to X squared over two D. So we have t is equal to 30 nanometers squared, 30 squared, and we'll keep in mind. We're looking at nanometer strip, um, so divided by D, which is not quite one micrometers square per second. And so we have nanometers micrometers here. We want to We want to change this. Um, So what I'm going to do is I'm going to more supply by Tend to be minus three on this hot here. There we go. So that this will now be in nanometers squared per second. So we have nanometers squared over nanometer square per second, which is going to give us what we need. And this gives us not point. Not, not for five seconds. So will change out to, uh, 4.5 milliseconds. So again, the most important bit for part B is to make sure you change your not 0.1, uh, micrometers in 29.1 times 10 to 9 to three nanometers to keep everything working with units. But this gives us 4.4 point five milliseconds, and if he wants to make a comment on that, that seems reasonable. That's very fast. Um, and so we would expect that to match in fever because in Viva, we will be looking at a rate of about five milliseconds to import a protein through a nuclear pore